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Math Help - this is the applied maximum and minimum problems

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    this is the applied maximum and minimum problems

    a close rectangular container with a square base is to have a volume of 2250 in^3. teh material for the top and bottom of the container will cost $2 per in^2, and the material for the sides will cost $3 per in^2. Find the dimension of the container of least cost.
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    Quote Originally Posted by redcherry View Post
    a close rectangular container with a square base is to have a volume of 2250 in^3. teh material for the top and bottom of the container will cost $2 per in^2, and the material for the sides will cost $3 per in^2. Find the dimension of the container of least cost.
    let x = side length of the square base

    h = height of the container

    x^2h = 2250

    C = (2)(2x^2) + (3)(4xh)

    get the cost function in terms of a single variable, take the derivative, and minimize the cost.
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